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Finding the Fourth Proportional to 365.92, 544.97 and 361.60

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Solution

The fourth proportional to 365.92, 544.97 and 361.60 is: 538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.92 : 544.97 = 361.60 : x
  2. Step 2: Convert to fraction form
    365.92/544.97 = 361.60/x
  3. Step 3: Cross multiply
    365.92x = 544.97 × 361.60
  4. Step 4: Simplify right side
    365.92x = 197,061.15
  5. Step 5: Solve for x
    x = 197,061.15/365.92
  6. Step 6: Final answer
    x = 538.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.